Modeling the effect of reproductive toxicant in subclass and is emitted into the environment by the biological species itself

Abstract

In this paper, a nonlinear model is analyzed to review of some of the chemical substances and this chemical substance produces harmful effects on the reproductive capability of the biological species. The chemical substance is the reproduction toxicant produced by the biological species itself. As the species is polluting its own environment therefore an increase in reproduction toxicant is directly proportional to the increase in population of the species. This shows various effects on the reproduction behavior of the species depending upon the concentration level or intake quantity by the biological species. This reproduction toxicant enters inside the body through inhalation, skin contact, or ingestion causing reproduction deformities in different parts of the body or the reproduction system of the species after undergoing various different mechanisms (structurally or chemically). Mathematical models have played a vital role in sketching the ecological problem to research and predicting the dynamical behavioral variation of both aquatic and terrestrial ecosystems. Some members of biological species get critically affected and show abnormalities in the reproduction behavior of biological species, like deformity, fecundity, endometriosis, reproductive cancer, etc. Various mathematical tools and stability theory of equation is employed to research the decreases within the biological population we conduct stability analysis on the nontrivial equilibrium solution of the model using Lyapunov’s direct method and eventually, we conduct numerical simulations so as to check the analytical outcomes with numerical computations, so on substantiate that there is a parameter range that the results are relevant. The reproduction process increases the population of a selected species which in turn increases the reproduction toxicant in the environment, and due to an increased level of reproduction toxicant, the reproduction in species gets lethal and sub-lethal effect because of which the population decreases below the carrying capacity. This paper is to draw attention of the viewer to put a control on the population of species including the human beings and let them to become more conscious in keep the environment free from toxicant effect.